Two angles are supplementary. They have the following measures m<QRS = (x+16) degrees and m<SRT = (3x) degrees. What is the measure of <SRT?

Answer 1

Since the angles are supplementary, their measures must add up to 180 degrees.

So, we have the equation: (x+16) + (3x) = 180

Combining like terms, we get: 4x + 16 = 180

Subtracting 16 from both sides: 4x = 164

Dividing both sides by 4: x = 41

Therefore, the measure of <SRT (3x) is: 3(41) = 123 degrees.